5163816960 has 384 divisors, whose sum is σ = 19341504000. Its totient is φ = 1303216128.

The previous prime is 5163816923. The next prime is 5163816967. The reversal of 5163816960 is 696183615.

5163816960 is a `hidden beast` number, since 5 + 1 + 638 + 1 + 6 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5163816967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5252629 + ... + 5253611.

It is an arithmetic number, because the mean of its divisors is an integer number (50368500).

Almost surely, 2^5163816960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5163816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9670752000).

5163816960 is an abundant number, since it is smaller than the sum of its proper divisors (14177687040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5163816960 is a wasteful number, since it uses less digits than its factorization.

5163816960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 5163816960 is about 71859.7033113831. The cubic root of 5163816960 is about 1728.4504998258.

The spelling of 5163816960 in words is "five billion, one hundred sixty-three million, eight hundred sixteen thousand, nine hundred sixty".